Article ID Journal Published Year Pages File Type
4617739 Journal of Mathematical Analysis and Applications 2012 9 Pages PDF
Abstract

In this paper we obtain a necessary and sufficient condition for the harmonicity of the inverse of a harmonic diffeomorphism. As an application, we give explicit representations of reversible logharmonic diffeomorphisms. As another application, we connect the harmonicity of the inverse of a hyperbolic harmonic quasiconformal diffeomorphism with the Schoen conjecture.

Related Topics
Physical Sciences and Engineering Mathematics Analysis